Question

A shopkeeper marks his goods 25% above the C.P and allows a discount of 12% on them. An additional discount of 5% is allowed on the discounted price through a voucher. What percent did he gain?

• A. 3.5%
• B. 4%
• C. 4.5%
• D. 5%

Answer 1

The correct option is C 4.5%

Let the C.P = ₹100

then, marked price = C.P + 25% of C.P
$\Rightarrow$ marked price = 100 + 25% of 100
$\Rightarrow$ marked price or M.P = ₹125

A discount of 15% is allowed on the M.P

$\Rightarrow$ discounted price = M.P - 12% of M.P
$\Rightarrow$ discounted price = 125 - 15
$\Rightarrow$ discounted price = ₹110

Now, an additional discount of 5% is provided on the discounted price of ₹110

$\Rightarrow$ S.P = 110 - 5% of 110
$\Rightarrow$ S.P = 110 - 5.50 = ₹104.50

$\because$ S.P > C.P
gain = 104.50 - 100 = ₹4.50

gain% = $\frac{4.50}{100}\times$ 100 = 4.5%